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220056690 = 23577114759
BaseRepresentation
bin11010001110111…
…00110001110010
3120100002001000210
431013130301302
5422313303230
633500324550
75311310460
oct1507346162
9510061023
10220056690
11103241937
1261843756
133678a479
1421323830
15144bbeb0
hexd1dcc72

220056690 has 64 divisors (see below), whose sum is σ = 612126720. Its totient is φ = 49586880.

The previous prime is 220056667. The next prime is 220056691. The reversal of 220056690 is 96650022.

It is a super-2 number, since 2×2200566902 = 96849893627512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (220056691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7531 + ... + 22289.

It is an arithmetic number, because the mean of its divisors is an integer number (9564480).

Almost surely, 2220056690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220056690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306063360).

220056690 is an abundant number, since it is smaller than the sum of its proper divisors (392070030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220056690 is a wasteful number, since it uses less digits than its factorization.

220056690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14847.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 220056690 is about 14834.3078706086. The cubic root of 220056690 is about 603.7329217721.

The spelling of 220056690 in words is "two hundred twenty million, fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 7455 14759 14910 29518 44277 73795 88554 103313 147590 206626 221385 309939 442770 516565 619878 1033130 1047889 1549695 2095778 3099390 3143667 5239445 6287334 7335223 10478890 14670446 15718335 22005669 31436670 36676115 44011338 73352230 110028345 220056690